
The area of the trapezium is 1586 sq. m. The length of its parallel sides are 38 cm and 84 cm. Find the distance between them.
Answer
472.2k+ views
Hint: Here, we will draw the diagram using the given information. We will substitute the given values in the formula of area of trapezium. Then we will simplify it to find the distance between the parallel sides by using the area of the trapezium formula. Area of the trapezium is defined as the region covered by the trapezium.
Formula Used:
We will use the formula Area of the Trapezium , where and are the parallel sides and is the perpendicular distance between the parallel sides.
Complete step-by-step answer:
First we will draw the diagram of the trapezium based on the given information.
We will substitute the length of the parallel sides and in the formula for area of trapezium.
Substituting , and in the formula Area of the Trapezium , we get
Adding the terms, we get
Dividing 122 by 2, we get
Again dividing 1586 by 61, we get
Therefore, the distance between the parallel sides is 26cm.
Note: We know that the trapezium is also known as trapezoid. A trapezium has two parallel sides and two non-parallel sides. The diagonals of a trapezium bisect each other. The length of the mid-segment is equal to half of the sum of the bases of parallel sides, in a trapezium. Trapezium has a wide number of applications. For example, Roof of a building is in the form of trapezium. If the perpendicular distance between them and the length of the parallel sides are known, then we can find the area of the trapezium.
Formula Used:
We will use the formula Area of the Trapezium
Complete step-by-step answer:
First we will draw the diagram of the trapezium based on the given information.

We will substitute the length of the parallel sides and in the formula for area of trapezium.
Substituting
Adding the terms, we get
Dividing 122 by 2, we get
Again dividing 1586 by 61, we get
Therefore, the distance between the parallel sides is 26cm.
Note: We know that the trapezium is also known as trapezoid. A trapezium has two parallel sides and two non-parallel sides. The diagonals of a trapezium bisect each other. The length of the mid-segment is equal to half of the sum of the bases of parallel sides, in a trapezium. Trapezium has a wide number of applications. For example, Roof of a building is in the form of trapezium. If the perpendicular distance between them and the length of the parallel sides are known, then we can find the area of the trapezium.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 9 General Knowledge: Engaging Questions & Answers for Success

Master Class 9 English: Engaging Questions & Answers for Success

Master Class 9 Science: Engaging Questions & Answers for Success

Master Class 9 Social Science: Engaging Questions & Answers for Success

Master Class 9 Maths: Engaging Questions & Answers for Success

Class 9 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
What is the difference between Atleast and Atmost in class 9 maths CBSE

What was the capital of the king Kharavela of Kalinga class 9 social science CBSE

Write an essay in about 150 200 words on the following class 9 english CBSE

Differentiate between parenchyma collenchyma and sclerenchyma class 9 biology CBSE

The Fundamental Right which cannot be suspended even class 9 social science CBSE

What were the main changes brought about by the Bolsheviks class 9 social science CBSE
